At an office supply store, packs of pencils are sold for $1.50 each, and packs of pens are sold for $4 each. if at the end of the day, the store sold 28 packs of writing utensils and made $67, how many packs of pens and pencils did it sell?

The supply store sold 18 packs of pencil and 10 packs of pen

Step-by-step explanation:

The supply store sells writing utensils. The cost for each pencil is $1.50 and the price for each pen is $4.

The total number of pen sold a particular day = 28

let the number of pencil sold = a

the number of pen = b

a + b = 28(i)

The total cost made can be computed as

1.5a + 4b = 67(ii)

a + b = 28(i)

1.5a + 4b = 67(ii)

a = 28 - b

insert the value of a in equation (ii)

1.5(28 - b) + 4b= 67

42  - 1.5b  + 4b= 67

67 - 42 = 2.5b

dvide both sides by 2.5

b = 25/2.5

b = 10

insert the value of b in equation (i)

a + b = 28(i)

a = 28 - 10

a = 18

The supply store sold 18 packs of pencil and 10 packs of pen